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  • Aim: How do we solve linear trigonometric equations?

At the end of this lesson, you will be able to...
  1. solve a linear trigonometric equation for a trig function
  2. find the reference angle based upon the value of the function
  3. find all the solutions to a linear trigonometric equation given a specific domain

If you can solve 2x - 1 = 0, you will be able to solve linear trigonometric equations. We have to remember that some angles have the same trig function. We will use the reference angle to help us figure those out.

Video 1


Video 2


  • Classwork: Now try these:

  1. 7tanx = 2(3)^1/2 + tanx over the interval 0<x<2pi
  2. Find, to the nearest hundredth, all the possible solutions of the following equation in radians: 3(sinA + 2) = 3 - sin A
  3. Find all the possible solutions to the following equation in degrees ½(secx + 3) = secx + 5/2

Answers:
  1. pi/6 and 7pi/6
  2. 3.99 + (2pi)n and 5.44 + 2pi(n)
  3. 120 + 360n and 240 + 360n


  • Homework: Solve # 3- 27 in multiples of 3.

Linear_Trig.JPG

  • Answers:

A-Linear_Trig.JPG

  • Journal entry: How is the solution of a linear equation different from the solution of a linear trigonometric equation?